Nonuniversal gaugino masses in a magnetized toroidal compactification of SYM theories

TL;DR

This paper develops a model based on magnetized toroidal compactification of supersymmetric Yang-Mills theories that naturally produces nonuniversal gaugino masses, consistent gauge coupling unification, and potential phenomenological benefits like enhanced Higgs mass.

Contribution

It introduces a concrete higher-dimensional model with nonuniversal gauge kinetic functions leading to realistic gaugino mass ratios and gauge coupling unification.

Findings

Nonuniversal gaugino mass ratios compatible with Higgs mass enhancement.

Gauge couplings remain unified at the compactification scale.

Model reproduces flavor structure of the MSSM.

Abstract

This paper proposes a concrete model of nonuniversal gaugino masses on the basis of higher-dimensional supersymmetric Yang-Mills theories compactified on a magnetized factorizable torus, and we estimate the gauge coupling constants and gaugino masses in the model. In the magnetized toroidal compactifications, the four-dimensional effective action can be obtained analytically identifying its dependence on moduli fields, where the magnetic fluxes are able to yield the flavor structure of the minimal supersymmetric standard model (MSSM). The obtained gauge kinetic functions contains multi moduli fields and their dependence is nonuniversal for the three gauge fields. The nonuniversal gauge kinetic functions can lead to nonuniversal gaugino masses at a certain high energy scale (e.g. compactification scale). Our numerical analysis of them shows that, particular ratios of gaugino masses, which were found to enhance the Higgs boson mass and lead to "natural supersymmetry" in the MSSM, can be realized in our model, while the gauge couplings are unified as is achieved in the MSSM.